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Implicit implementation of the Prevost model: 25th ALERT Workshop

Implicit implementation of the Prevost model: 25th ALERT Workshop
Implicit implementation of the Prevost model: 25th ALERT Workshop
The Prevost model for cohesionless soils (Prevost 1985) is currently used for the modelling of their cyclic behaviour, especially in earthquake engineering (Zerfa and Loret 2003) and (Yang and Elgamal 2008). It’s made of conical yield surfaces that allow for plastic deformations in both loading and unloading. Its non-associated volumetric flow rule can roughly take into account pore pressure build-up and cyclic mobility. The method of implementation of a constitutive law is a crucial issue (Montáns and Caminero 2007) and (Mira et al. 2009). On one hand the accuracy of the solution must be ensured, especially when a large number of cycles are considered. But on the other hand, the cost of the computation must be minimized which implies step size as large as possible. In this paper, an implicit implementation of the Prevost model is proposed. The plastic flow rule is computed through a trapezoidal rule, at the time step n + 1/2, in order to increase the accuracy.An iterative process has to be solved, due to the implicit formulation.The Jacobian matrix of the internal Newton-Raphson process is computed analytically to enhance efficiency. The algorithm is implemented in the finite element code LAGAMINE that carries out fully-coupled analysis. Simulations of triaxial tests are compared with “exact” solution.
Geomechanics, Constitutive modelling, Implicit implementation
9-10
Cerfontaine, Benjamin
0730daf4-9d6b-4f2d-a848-a3fc54505a02
Charlier, Robert
3bba8221-b05d-431a-8a41-40f1b5dcc7e8
Cerfontaine, Benjamin
0730daf4-9d6b-4f2d-a848-a3fc54505a02
Charlier, Robert
3bba8221-b05d-431a-8a41-40f1b5dcc7e8

Cerfontaine, Benjamin and Charlier, Robert (2014) Implicit implementation of the Prevost model: 25th ALERT Workshop. In 25th ALERT Workshop. pp. 9-10 .

Record type: Conference or Workshop Item (Paper)

Abstract

The Prevost model for cohesionless soils (Prevost 1985) is currently used for the modelling of their cyclic behaviour, especially in earthquake engineering (Zerfa and Loret 2003) and (Yang and Elgamal 2008). It’s made of conical yield surfaces that allow for plastic deformations in both loading and unloading. Its non-associated volumetric flow rule can roughly take into account pore pressure build-up and cyclic mobility. The method of implementation of a constitutive law is a crucial issue (Montáns and Caminero 2007) and (Mira et al. 2009). On one hand the accuracy of the solution must be ensured, especially when a large number of cycles are considered. But on the other hand, the cost of the computation must be minimized which implies step size as large as possible. In this paper, an implicit implementation of the Prevost model is proposed. The plastic flow rule is computed through a trapezoidal rule, at the time step n + 1/2, in order to increase the accuracy.An iterative process has to be solved, due to the implicit formulation.The Jacobian matrix of the internal Newton-Raphson process is computed analytically to enhance efficiency. The algorithm is implemented in the finite element code LAGAMINE that carries out fully-coupled analysis. Simulations of triaxial tests are compared with “exact” solution.

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More information

Published date: 2014
Keywords: Geomechanics, Constitutive modelling, Implicit implementation

Identifiers

Local EPrints ID: 444214
URI: http://eprints.soton.ac.uk/id/eprint/444214
PURE UUID: 85ed4653-931f-462e-b401-a553bb347876
ORCID for Benjamin Cerfontaine: ORCID iD orcid.org/0000-0002-4833-9412

Catalogue record

Date deposited: 01 Oct 2020 16:34
Last modified: 02 Oct 2020 01:53

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